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Finding the Fourth Proportional to 204,210.40, 305,878.20 and 133,351.60

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Solution

The fourth proportional to 204,210.40, 305,878.20 and 133,351.60 is: 199,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,210.40 : 305,878.20 = 133,351.60 : x
  2. Step 2: Convert to fraction form
    204,210.40/305,878.20 = 133,351.60/x
  3. Step 3: Cross multiply
    204,210.40x = 305,878.20 × 133,351.60
  4. Step 4: Simplify right side
    204,210.40x = 40,789,347,375.12
  5. Step 5: Solve for x
    x = 40,789,347,375.12/204,210.40
  6. Step 6: Final answer
    x = 199,741.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.